The convergence of a direct BEM for the plane mixed boundary value problem of the Laplacian

DOI10.1007/BF01396971zbMath0661.65116OpenAlexW1995088282MaRDI QIDQ1113636

Gunther Schmidt, Hartmut Strese

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133310

zbMATH Keywords

convergencecollocation methodnumerical examplesboundary element methodLaplace equationmixed boundary conditionsasymptotic error estimates

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Equivalent boundary integral equations with indirect variables for plane elasticity problems ⋮ A relation between the logarithmic capacity and the condition number of the BEM‐matrices ⋮ Modeling elastic wave propagation in fluid-filled boreholes drilled in nonhomogeneous media: BEM-MLPG versus BEM-FEM coupling

Cites Work

• On spline collocation methods for boundary integral equations in the plane
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• On the integral equation method for the plane mixed boundary value problem of the Laplacian
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